Holomorphic Immersions of Bi-Disks into 9D Real Hypersurfaces with Levi Signature (2,2)
文献类型：期刊论文
| 作者 | Foo, Wei Guo2; Merker, Joel1 |
| 刊名 | INTERNATIONAL MATHEMATICS RESEARCH NOTICES
 |
| 出版日期 | 2022-03-23 |
| 卷号 | 2022期号:7页码:5466-5505 |
| ISSN号 | 1073-7928 |
| DOI | 10.1093/imrn/rnaa266 |
| 英文摘要 | Inspired by an article of R. Bryant on holomorphic immersions of unit disks into Lorentzian CR manifolds, we discuss the application of Cartan's method to the question of the existence of bi-disk D-2 in a smooth 9D real-analytic real hypersurface M-9 subset of C-5 with Levi signature (2, 2) passing through a fixed point. The result is that the lift to M-9 x U(2) of the image of the bi-disk in M-9 must lie in the zero set of two complex-valued functions in M-9 x U(2). We then provide an example where one of the functions does not identically vanish, thus obstructing holomorphic immersions. |
| 资助项目 | Hua Loo-Keng Center for Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences[11688101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000773012300016 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60248]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Foo, Wei Guo |
| 作者单位 | 1.Univ Paris Saclay, Univ Paris Sud, Ctr Natl Rech Sci, Lab Math Orsay, F-91405 Orsay, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Ctr Math Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Foo, Wei Guo,Merker, Joel. Holomorphic Immersions of Bi-Disks into 9D Real Hypersurfaces with Levi Signature (2,2)[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2022,2022(7):5466-5505. |
| APA | Foo, Wei Guo,&Merker, Joel.(2022).Holomorphic Immersions of Bi-Disks into 9D Real Hypersurfaces with Levi Signature (2,2).INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2022(7),5466-5505. |
| MLA | Foo, Wei Guo,et al."Holomorphic Immersions of Bi-Disks into 9D Real Hypersurfaces with Levi Signature (2,2)".INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2022.7(2022):5466-5505. |
入库方式： OAI收割
来源：数学与系统科学研究院
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